Finding the Third Proportional to 2,054 and 3,122
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Solution
The third proportional to 2,054 and 3,122 is: 4,745.32
Step by Step Solution
- Step 1: Write the proportion equation
2,054 : 3,122 = 3,122 : x - Step 2: Convert to fraction form
2,054/3,122 = 3,122/x - Step 3: Cross multiply
2,054x = 3,122 × 3,122 - Step 4: Simplify right side
2,054x = 9,746,884 - Step 5: Solve for x
x = 9,746,884/2,054 - Step 6: Final answer
x = 4,745.32
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.